Publications

Recent group publications

The Persistence of Neural Collapse Despite Low-Rank Bias

Authors: Connall Garrod, Jonathan P. Keating
Last updated: 5 October 2025
http://arxiv.org/abs/2410.23169v2
 

Joint Moments of Characteristic Polynomials from the Orthogonal and Unitary Symplectic Groups

Authors: Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P. Keating, Fei Wei
Last updated: 18 September 2025
http://arxiv.org/abs/2508.09910v2
 

Modular transformations of tau functions and conformal blocks on the torus

Authors: Fabrizio Del Monte, Harini Desiraju, Pavlo Gavrylenko
Last updated: 19 August 2025
http://arxiv.org/abs/2508.14030v1
 

Charge pumps, pivot Hamiltonians and symmetry-protected topological phases

Authors: Nick. G. Jones, Ryan Thorngren, Ruben Verresen, Abhishodh Prakash
Last updated: 1 July 2025
http://arxiv.org/abs/2507.00995v1
 

Recurrence relations and the Christoffel-Darboux formula for elliptic orthogonal polynomials

Authors: Harini Desiraju, Sampad Lahiry
Last updated: 11 June 2025
http://arxiv.org/abs/2506.09582v1
 

A Linear Approach to Data Poisoning

Authors: Diego Granziol, Donald Flynn
Last updated: 23 May 2025
http://arxiv.org/abs/2505.15175v2
 

Genus expansion for non-linear random matrix ensembles with applications to neural networks

Authors: Nicola Muca Cirone, Jad Hamdan, Cristopher Salvi
Last updated: 13 May 2025
http://arxiv.org/abs/2407.08459v5
 

Density estimation using cellular binary trees and an application to monotone densities

Authors: Luc Devroye, Jad Hamdan
Last updated: 22 April 2025
http://arxiv.org/abs/2203.08006v2
 

A note on the exact simulation of a random eigenvalue of a GUE matrix

Authors: Luc Devroye, Jad Hamdan
Last updated: 25 March 2025
http://arxiv.org/abs/2304.03741v3
 

Nonlinear steepest descent on a torus: A case study of the Landau-Lifshitz equation

Authors: Harini Desiraju, Alexander R. Its, Andrei Prokhorov
Last updated: 21 March 2025
http://arxiv.org/abs/2405.17662v4
 

Pivoting through the chiral-clock family

Authors: Nick G. Jones, Abhishodh Prakash, Paul Fendley
Last updated: 18 March 2025
http://arxiv.org/abs/2406.01680v2
 

Classical origins of Landau-incompatible transitions

Authors: Abhishodh Prakash, Nick G. Jones
Last updated: 7 March 2025
http://arxiv.org/abs/2404.19009v2
 

Lower Bounds for the Large Deviations of Selberg's Central Limit Theorem

Authors: Louis-Pierre Arguin, Emma Bailey
Last updated: 29 October 2024
http://arxiv.org/abs/2403.19803v2
 

Exchangeable arrays and integrable systems for characteristic polynomials of random matrices

Authors: Theodoros Assiotis, Mustafa Alper Gunes, Jonathan P. Keating, Fei Wei
Last updated: 14 October 2024
http://arxiv.org/abs/2407.19233v3
 

Proof of Zamolodchikov conjecture for semi-classical conformal blocks on the torus

Authors: Harini Desiraju, Promit Ghosal, Andrei Prokhorov
Last updated: 18 September 2024
http://arxiv.org/abs/2407.05839v2
 

Quantum interpretation of lattice paths

Authors: Bhargavi Jonnadula, Jonathan P. Keating
Last updated: 17 June 2024
http://arxiv.org/abs/2406.11448v1
 

Upper Bounds on Large Deviations of Dirichlet $L$-functions in the $q$-aspect

Authors: Louis-Pierre Arguin, Nathan Creighton
Last updated: 31 May 2024
http://arxiv.org/abs/2405.20888v1
 

The Fyodorov-Hiary-Keating Conjecture on Mesoscopic Intervals

Authors: Louis-Pierre Arguin, Jad Hamdan
Last updated: 10 May 2024
http://arxiv.org/abs/2405.06474v1
 

Fredholm determinant representation of the Painlevé II $τ$-function

Authors: Harini Desiraju
Last updated: 30 April 2024
http://arxiv.org/abs/2008.01142v4
 

Unifying Low Dimensional Observations in Deep Learning Through the Deep Linear Unconstrained Feature Model

Authors: Connall Garrod, Jonathan P. Keating
Last updated: 9 April 2024
http://arxiv.org/abs/2404.06106v1
 

A Fixed-Point Approach to Non-Commutative Central Limit Theorems

Authors: Jad Hamdan
Last updated: 28 February 2024
http://arxiv.org/abs/2305.06960v6
 

Exact correlations in topological quantum chains

Authors: Nick G. Jones, Ruben Verresen
Last updated: 20 December 2023
http://arxiv.org/abs/2105.13359v3
 

Lecture hall graphs and the Askey scheme

Authors: Sylvie Corteel, Bhargavi Jonnadula, Jonathan P. Keating, Jang Soo Kim
Last updated: 22 November 2023
http://arxiv.org/abs/2311.12761v2